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Finding the Fourth Proportional to 520,086.90, 778,963.95 and 520,086.90

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Solution

The fourth proportional to 520,086.90, 778,963.95 and 520,086.90 is: 778,963.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,086.90 : 778,963.95 = 520,086.90 : x
  2. Step 2: Convert to fraction form
    520,086.90/778,963.95 = 520,086.90/x
  3. Step 3: Cross multiply
    520,086.90x = 778,963.95 × 520,086.90
  4. Step 4: Simplify right side
    520,086.90x = 405,128,945,967.26
  5. Step 5: Solve for x
    x = 405,128,945,967.26/520,086.90
  6. Step 6: Final answer
    x = 778,963.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.